Some results for a certain class of holomorphic functions at the boundary of the unit disc

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dc.authorid0000-0001-7109-230Xen_US
dc.authorid0000-0001-6484-2731en_US
dc.contributor.authorÖrnek, Bülent Nafi
dc.contributor.authorAkyel, Tuğba
dc.date.accessioned2024-07-12T20:46:32Z
dc.date.available2024-07-12T20:46:32Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe consider a version of the boundary Schwarz Lemma on a certain class which is denoted by K(?). For the function f(z) = z + c2z2 + c3z3 + ... defined in the unit disc E such that the function f(z) belongs to the class K(?), we estimate from below the modulus of the angular derivative of the function z f (z) f(z) at the boundary point b with b f (b) f(b) = 1 1+? . Moreover, we get Schwarz Lemma for the class K(?). We also investigate some inequalities obtained in terms of sharpness.en_US
dc.identifier.citationÖrnek, B. N., Akyel, T. (2019). Some results for a certain class of holomorphic functions at the boundary of the unit disc. International Conference of Mathematical Sciences. s. 030030(1)-030030(3).en_US
dc.identifier.doi10.1063/1.5095115
dc.identifier.endpage030030-3en_US
dc.identifier.isbn978-0-7354-1816-5
dc.identifier.startpage030030-1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/1.5095115
dc.identifier.urihttps://doi.prg/10.1063/1.5095115
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1867
dc.identifier.wosWOS:000472950300035en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesien_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01317
dc.subjectSchwarz lemmaen_US
dc.subjectHolomorphic functionen_US
dc.subjectJack’s lemmaen_US
dc.subjectAngular derivativeen_US
dc.titleSome results for a certain class of holomorphic functions at the boundary of the unit discen_US
dc.typeArticle
dspace.entity.typePublication

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